ELECTROMAGNETISM SUMMARY. Electrostatics. Charge conservation. Dielectrics. Electromagnetic Shielding
|
|
- Harriet Harrington
- 5 years ago
- Views:
Transcription
1 ELECTROMAGNETISM SUMMARY Electrostatics Charge conservation Dielectrics Electromagnetic Shielding 1 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
2 Electrostatics: The Case of Stationary Charge The source of all electromagnetic fields is ultimately the charge. When there are no time variations, charge is the source of electric field. For a point charge we have Coulomb s law: E r = q 4πǫ 0 r 2 where the free space permittivity, ǫ 0 = Farads/m and q is in Coulombs. 2 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
3 Electrostatics: The static electric field In general we have the following closed integral form (Gauss s law): E.dA = q ǫ 0 A Example: a charged capacitor. E = σ/ǫ o... 3 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
4 Electrostatics: The Electrostatic Potential Definition: The potential difference between two points x 1 and x 2 is given by, x 2 Φ = E.dl = x 1 γ E.dl Since the path γ can be any which connects the points x 1 and x 2 we may conclude that E = Φ. Kirchhoffs voltage law. 4 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
5 Charge Conservation When current flows out of a region in space, it depletes the charge in that region. The current per unit area j is given by, I = A j.da = q t where the current I is, I = j.da for any surface (not necessarily closed). A If q is in Coulombs and the time in seconds then I is in Amperes. A general law... not just electrostatics. If current flows round in a closed loop, then there need be no change in the charge: Kirchhoffs current law. Quite generally: j = nqv where n is the charge carrier density, q their charge and v their velocity. 5 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
6 Dielectrics and Conductors Dielectrics are insulating materials that do not allow D.C. current to flow through them. Usually we just call them insulators. In conductors, charge carriers (electrons) are free to move. E.G. metals. We study briefly the phenomenology of dielectrics and conductors. 6 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
7 Dielectrics 1 Dielectrics are insulating materials that do not allow D.C. current to flow through them. Electrons and nuclei in the atoms and molecules of dielectrics experience opposing forces in the presence of an imposed electric field. Electrons move opposite to the field and nuclei move in the direction of the field. This separation of charge produces a polarisation. The charge separation induced by the field, acts to reduce the electric field within the dielectric. 7 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
8 Dielectrics 2: Polarisation Polarisation P is the dipole moment per unit volume induced by an imposed, external electric field P = nqd, where n is the number density of dipoles, q is the charge at each end of the dipole and d is the displacement of the ±q charges at each end of the dipole. Polarisation is a vector quantity. Pictorial representation of a dipole moment: 8 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
9 Dielectrics 3: Polarisation At the edge of a polarised dielectric there is a charge density left over by the displacement of the dipoles. The surface charge density on the dielectric σ p = P.ˆn where ˆn is unit vector normal to the surface. Notice that σ p belongs to the material. It is not a free charge. 9 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
10 Dielectrics 4: Relative dielectric constant The relative dielectric constant ǫ r is defined by, P = ǫ 0 (ǫ r 1)E The Electric Displacement D is defined by, D = ǫ 0 E + P = ǫ r ǫ 0 E Main advantage of the definition of D is that its source is the free charge only and not the induced polarisation charge, D.dA = q free A c.f. A E.dA = q total ǫ 0 10 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
11 Dielectrics 5: Key Points The relative dielectric constant ǫ r describes the behaviour of a dielectric when exposed to an oscillating electric field. ǫ r at D.C. is a positive dimensionless number and ǫ r > 1 for dielectrics. When the electric field oscillates, ǫ r is a complex function of frequency. The ratio of the imaginary to real components of ǫ r is termed the loss tangent of the dielectric: tanδ = Im(ǫ r) Re(ǫ r ) 11 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
12 Conductors and Ohm s law Ohm s law: The current density in a conductor is proportional to the electric field within the conductor. j = σe where σ is the conductivity. Conductors are completely specified by σ. For copper, σ = mhos/meter.. Ohm s law is assumed to be an accurate result for metals at all radiofrequencies :). I.E. σ is always a real number and independent of frequency. 12 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
13 Conductors vs Dielectrics? For metals: j = σe For dielectrics: P = ǫ 0 (ǫ r 1)E If P oscillates as a function of time then, jωp = jωǫ 0 (ǫ r 1)E Since the dipoles are reversing sign at rate ω while traversing a distance d we may write, j P = jωp, where j P is the polarisation current. Thus dielectrics obey a sort of Ohm s law with j P = σ P E and σ P = jωǫ 0 (ǫ r 1) The main difference between conductors and insulators is simply that σ is resistive for a conductor, but is mainly reactive for insulators. In fact, generally speaking, ǫ r is a complex function of frequency. 13 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
14 Electromagnetic Shielding 1 Ohm s law for metals and Gauss s law for the electric field give rise to the concept of electromagnetic shielding 14 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
15 Electromagnetic Shielding 2: The Floating Conducting Box Suppose that there is an isolated positive charge, q, in a cavity and that the conducting box is floating (not connected to earth) and neutral (has no net charge). 15 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
16 Electromagnetic Shielding 3: The Floating Conducting Box We can deduce the following... Electric current is finite (actually zero here) and Ohm s law implies that the electric field inside the conductor (Turquoise region) is zero. Gauss s law implies that the net negative charge on the inside of the inner wall of the cavity is equal and opposite in sign to q. Charge conservation implies that the amount of positive charge on the outer surface equals the negative charge on the inner surface. 16 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
17 Electromagnetic Shielding 4: The Floating Conducting Box Observations: (a) The negative charge arranges itself to give perfect cancellation of the electric field inside the conductor. (b) The negative surface charge density (σ) is highest on the wall closest to q. (c) The positive charges on the outer surface see no electric field inside the conductor and therefore do not respond to movement in either q or the negative charge on the cavity wall. (d) The positive charges on the outside bunch toward surfaces of high curvature and spread out along surfaces of low curvature. 17 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
18 Electromagnetic Shielding 5: The Floating Conducting Box (e) The charge on the surface of the metal-air interface lies right on the surface and not inside the conductor. (RF burns?) (f) By Gauus s law, here is still an electric field outside the conductor. (g) If there were no net charge inside the cavity (q = 0) then there would be no electric field outside the conducting box either. For example there could even be a +q and a q arbitrarily located. It makes no difference. (h) At the surface of the metal, the electric field vector is always normal. There is never any tangential component of electric field on the surface of a conductor. 18 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
19 Electromagnetic Shielding 6: The Earthed Conducting Box Largely the same observations as for the floating case, except that now there is no field outside the conductor under any condition. Main practical conclusion: Closed conducting boxes isolate the outside world from electromagnetic influences within the box and vice versa. 19 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
20 Electromagnetic Shielding 7: Proximity to a Conductor A charge near a conducting surface attracts charge of the opposite sign to the nearest point on the surface. These surface charges arrange themselves so that the tangntial component of electric field is zero on the surface. One may compute the electric field outside the conductor by assuming (mathematically) that there is an image charge within the conductor. 20 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
21 Electromagnetic Shielding 8: Proximity to Floating Conductors Two charges (electronic components) near a floating conductor must share the charge within the conductor. Electromagnetic fields at opposite ends of the plane cause charge separations that increase the influence of each component on the other. If the electronic components are themselves neutral then there is not such a large influence of the plane. 21 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
22 Electromagnetic Shielding 9: Proximity to Earthed Conductors Earth is an inexhaustible source of charge. Two charges (electronic components) near an earthed conductor attract charge from earth. Electromagnetic fields at opposite ends of the plane cause charge separations that decrease the influence of each component on the other. 22 ENGN4545/ENGN6545: Radiofrequency Engineering L#3
Electromagnetism. 1 ENGN6521 / ENGN4521: Embedded Wireless
Electromagnetism 1 ENGN6521 / ENGN4521: Embedded Wireless Radio Spectrum use for Communications 2 ENGN6521 / ENGN4521: Embedded Wireless 3 ENGN6521 / ENGN4521: Embedded Wireless Electromagnetism I Gauss
More informationApplications: Wireless communications 1. 1 ENGN4545/ENGN4565: Radiofrequency Engineering L#2
Applications: Wireless communications 1 1 ENGN4545/ENGN4565: Radiofrequency Engineering L#2 Applications: Wireless communications 2 2 ENGN4545/ENGN4565: Radiofrequency Engineering L#2 Applications: Metal
More informationClass 6 : Insulating Materials
Class 6 : Insulating Materials What is an insulator? Electric dipoles Polarization of an insulator, and how it modifies electric field Electric displacement Boundary conditions for E Recap (1) Maxwell
More informationWhere k = 1. The electric field produced by a point charge is given by
Ch 21 review: 1. Electric charge: Electric charge is a property of a matter. There are two kinds of charges, positive and negative. Charges of the same sign repel each other. Charges of opposite sign attract.
More informationDHANALAKSHMI SRINIVASAN INSTITUTE OF RESEARCH AND TECHNOLOGY
DHANALAKSHMI SRINIVASAN INSTITUTE OF RESEARCH AND TECHNOLOGY SIRUVACHUR-621113 ELECTRICAL AND ELECTRONICS DEPARTMENT 2 MARK QUESTIONS AND ANSWERS SUBJECT CODE: EE 6302 SUBJECT NAME: ELECTROMAGNETIC THEORY
More informationPHYSICS ASSIGNMENT ES/CE/MAG. Class XII
PHYSICS ASSIGNMENT ES/CE/MAG Class XII MM : 70 1. What is dielectric strength of a medium? Give its value for vacuum. 1 2. What is the physical importance of the line integral of an electrostatic field?
More informationPhysics 169. Luis anchordoqui. Kitt Peak National Observatory. Thursday, February 22, 18
Physics 169 Kitt Peak National Observatory Luis anchordoqui 1 4.1 Capacitors A capacitor is a system of two conductors that carries equal and opposite charges A capacitor stores charge and energy in the
More informationPhysics 3211: Electromagnetic Theory (Tutorial)
Question 1 a) The capacitor shown in Figure 1 consists of two parallel dielectric layers and a voltage source, V. Derive an equation for capacitance. b) Find the capacitance for the configuration of Figure
More informationChapter 18 Electrostatics Electric Forces and Fields
Chapter 18 Electrostatics Electric Forces and Fields Electrical charges that does not flow through an object, but sit stationary on the surface of an object. Usually it is isolated on the surface, but
More informationUNIT-III Maxwell's equations (Time varying fields)
UNIT-III Maxwell's equations (Time varying fields) Faraday s law, transformer emf &inconsistency of ampere s law Displacement current density Maxwell s equations in final form Maxwell s equations in word
More informationIntroductory Physics for Scientists and Engineers (II) PHY2049
Introductory Physics for Scientists and Engineers (II) PHY2049 Beatriz Roldán Cuenya Department of Physics, University of Central Florida http://physics.ucf.edu/~roldan Book: University Physics (Vol 2),
More informationElectricity. Revision Notes. R.D.Pilkington
Electricity Revision Notes R.D.Pilkington DIRECT CURRENTS Introduction Current: Rate of charge flow, I = dq/dt Units: amps Potential and potential difference: work done to move unit +ve charge from point
More informationCalculus Relationships in AP Physics C: Electricity and Magnetism
C: Electricity This chapter focuses on some of the quantitative skills that are important in your C: Mechanics course. These are not all of the skills that you will learn, practice, and apply during the
More informationPhysics (2): Problem set 1 solutions
Physics (2): Problem set solutions PHYS 04 Problem : Two identical charges q = nc are located on the x-axis at positions 2 cm and 2 cm. What is the electric field at the origin (centre between the two
More informationChapter 16 Electric Charge and Electric Field
Chapter 16 Electric Charge and Electric Field 16.1 Static Electricity; Electric Charge and Its Conservation Objects can be charged by rubbing 16.1 Static Electricity; Electric Charge and Its Conservation
More informationCHAPTER 7 ELECTRODYNAMICS
CHAPTER 7 ELECTRODYNAMICS Outlines 1. Electromotive Force 2. Electromagnetic Induction 3. Maxwell s Equations Michael Faraday James C. Maxwell 2 Summary of Electrostatics and Magnetostatics ρ/ε This semester,
More informationMagnetic Force on a Moving Charge
Magnetic Force on a Moving Charge Electric charges moving in a magnetic field experience a force due to the magnetic field. Given a charge Q moving with velocity u in a magnetic flux density B, the vector
More informationElectric Force and Charge. Electric Force and Charge. Electric Force and Charge. Electric Force and Charge. Electric Force and Charge
Hewitt/Lyons/Suchocki/Yeh Conceptual Integrated Science Chapter 7 ELECTRICITY AND MAGNETISM Electric forces can attract some objects and repel others Electric charge: the fundamental quantity that underlies
More informationCoulomb s Law. Phys102 Lecture 2. Key Points. Coulomb s Law The electric field (E is a vector!) References
Phys102 Lecture 2 Phys102 Lecture 2-1 Coulomb s Law Key Points Coulomb s Law The electric field (E is a vector!) References SFU Ed: 21-5,6,7,8,9,10. 6 th Ed: 16-6,7,8,9,+. Phys102 Lecture 2 Phys102 Lecture
More information1. Voltage is how much work is being done for a charge. 2. Lightning is the electric breakdown of air by weak electric fields and is a flow of energy.
Chapters 17 and 18 Practice Problems True or False 1. Voltage is how much work is being done for a charge. 2. Lightning is the electric breakdown of air by weak electric fields and is a flow of energy.
More informationPH 222-2C Fall Gauss Law. Lectures 3-4. Chapter 23 (Halliday/Resnick/Walker, Fundamentals of Physics 8 th edition)
PH 222-2C Fall 212 Gauss Law Lectures 3-4 Chapter 23 (Halliday/Resnick/Walker, Fundamentals of Physics 8 th edition) 1 Chapter 23 Gauss Law In this chapter we will introduce the following new concepts:
More information2014 F 2014 AI. 1. Why must electrostatic field at the surface of a charged conductor be normal to the surface at every point? Give reason.
2014 F 1. Why must electrostatic field at the surface of a charged conductor be normal to the surface at every point? Give reason. 2. Figure shows the field lines on a positive charge. Is the work done
More informationClass XII Chapter 1 Electric Charges And Fields Physics
Class XII Chapter 1 Electric Charges And Fields Physics Question 1.1: What is the force between two small charged spheres having charges of 2 10 7 C and 3 10 7 C placed 30 cm apart in air? Answer: Repulsive
More informationThis is known as charge quantization. Neutral particles, like neutron and photon have zero charge.
Module 2: Electrostatics Lecture 6: Quantization of Charge Objectives In this lecture you will learn the following Quantization Of Charge and its measurement Coulomb's Law of force between electric charge
More informationWelcome to PHY2054C. Office hours: MoTuWeTh 10:00-11:00am (and after class) at PS140
Welcome to PHY2054C Office hours: MoTuWeTh 10:00-11:00am (and after class) at PS140 Book: Physics 8 ed. by Cutnell & Johnson, Volume 2 and PHY2054 Lab manual for your labs. One Midterm (July 14) and final
More informationWelcome to PHYS2002!
Welcome to PHYS00! Physics I Done! We are now all experts in mechanics. Mechanics Mass M Interaction: mm F = G r 1 G = 6.67 10 Nm/ kg r M 11 1 We never said what mass is, only how it behaves. New Semester
More informationAP Physics C Electricity and Magnetism
AP Physics C Electricity and Magnetism Course overview This is a calculus based course in physics. The course is the equivalent of an introductory engineering course in Physics. The main objective of the
More informationAML 883 Properties and selection of engineering materials
AML 883 Properties and selection of engineering materials LECTURE 17. Electrical properties M P Gururajan Email: guru.courses@gmail.com Room No. MS 207/A 3 Phone: 1340 Types of electric behaviour Conduction
More informationCH 23. Gauss Law. A. Gauss law relates the electric fields at points on a (closed) Gaussian surface to the net charge enclosed by that surface.
CH 23 Gauss Law [SHIVOK SP212] January 4, 2016 I. Introduction to Gauss Law A. Gauss law relates the electric fields at points on a (closed) Gaussian surface to the net charge enclosed by that surface.
More informationLecture contents Review: Few concepts from physics Electric field
1 Lecture contents Review: Few concepts from physics Electric field Coulomb law, Gauss law, Poisson equation, dipole, capacitor Conductors and isolators 1 Electric current Dielectric constant Overview
More informationLecture 15 Perfect Conductors, Boundary Conditions, Method of Images
Lecture 15 Perfect Conductors, Boundary Conditions, Method of Images Sections: 5.4, 5.5 Homework: See homework file Perfect Conductors 1 metals such as Cu, Ag, Al are closely approximated by the concept
More informationPhysics (
Question 2.12: A charge of 8 mc is located at the origin. Calculate the work done in taking a small charge of 2 10 9 C from a point P (0, 0, 3 cm) to a point Q (0, 4 cm, 0), via a point R (0, 6 cm, 9 cm).
More informationA Brief Revision of Vector Calculus and Maxwell s Equations
A Brief Revision of Vector Calculus and Maxwell s Equations Debapratim Ghosh Electronic Systems Group Department of Electrical Engineering Indian Institute of Technology Bombay e-mail: dghosh@ee.iitb.ac.in
More informationELECTROMAGNETIC FIELD
UNIT-III INTRODUCTION: In our study of static fields so far, we have observed that static electric fields are produced by electric charges, static magnetic fields are produced by charges in motion or by
More informationA) 1, 2, 3, 4 B) 4, 3, 2, 1 C) 2, 3, 1, 4 D) 2, 4, 1, 3 E) 3, 2, 4, 1. Page 2
1. Two parallel-plate capacitors with different plate separation but the same capacitance are connected in series to a battery. Both capacitors are filled with air. The quantity that is NOT the same for
More informationELECTRO MAGNETIC FIELDS
SET - 1 1. a) State and explain Gauss law in differential form and also list the limitations of Guess law. b) A square sheet defined by -2 x 2m, -2 y 2m lies in the = -2m plane. The charge density on the
More informationELECTROSTATICS - II : Electric Field
LCTROSTATICS II : lectric Field. lectric Field 2. lectric Field Intensity or lectric Field Strength 3. lectric Field Intensity due to a Point Charge 4. Superposition Principle 5. lectric Lines of Force
More informationThis is known as charge quantization. Neutral particles, like neutron and photon have zero charge.
Electrostatics Quantization of Charge Objectives In this lecture you will learn the following Quantization Of Charge and its measurement Coulomb's Law of force between electric charge Superposition principle
More informationConductors and Insulators
Conductors and Insulators Lecture 11: Electromagnetic Theory Professor D. K. Ghosh, Physics Department, I.I.T., Bombay Self Energy of a Charge Distribution : In Lecture 1 we briefly discussed what we called
More informationIntroduction to Electrical Theory and DC Circuits
Introduction to Electrical Theory and DC Circuits For Engineers of All Disciplines by James Doane, PhD, PE Contents 1.0 Course Overview... 4 2.0 Fundamental Concepts... 4 2.1 Electric Charges... 4 2.1.1
More informationThe Correct Derivation of Magnetism from Electrostatics Based on Covariant Formulation of Coulomb's Law
The Correct Derivation of Magnetism from Electrostatics Based on Covariant Formulation of Coulomb's Law Mueiz Gafer KamalEldeen An Independent Researcher mueizphysics@gmail.com Abstract It is shown, by
More informationDownloaded from
Question 1.1: What is the force between two small charged spheres having charges of 2 10 7 C and 3 10 7 C placed 30 cm apart in air? Repulsive force of magnitude 6 10 3 N Charge on the first sphere, q
More informationELECTROMAGNETISM SUMMARY. Maxwell s equations Transmission lines Transmission line transformers Skin depth
ELECTROMAGNETISM SUMMARY Maxwell s equations Transmission lines Transmission line transformers Skin depth 1 ENGN4545/ENGN6545: Radiofrequency Engineering L#4 Magnetostatics: The static magnetic field Gauss
More informationCBSE Examination Paper
CBSE Examination Paper Time allowed : 3 hours Maximum marks: 70 General Instructions: Same as CBSE Examination Paper SET I 1. Using the concept of force between two infinitely long parallel current carrying
More informationTest Review Electricity
Name: Date: 1. An operating television set draws 0.71 ampere of current when connected to a 120-volt outlet. Calculate the time it takes the television to consume 3.0 10 5 joules of electric energy. [Show
More informationElectric Force and Charges. Conceptual Physics 11 th Edition. What are Atoms Made of?
Conceptual Physics 11 th Edition Electrical Forces and Charges Conservation of Charge Coulomb s Law Conductors and Insulators Chapter 22: ELECTROSTATICS Charging Charge Polarization Electric Field Electric
More informationUNIT-I INTRODUCTION. 1. State the principle of electromechanical energy conversion.
UNIT-I INTRODUCTION 1. State the principle of electromechanical energy conversion. The mechanical energy is converted in to electrical energy which takes place through either by magnetic field or electric
More informationFlow Rate is the NET amount of water passing through a surface per unit time
Electric Current An Analogy Water Flow in a Pipe H 2 0 gallons/minute Flow Rate is the NET amount of water passing through a surface per unit time Individual molecules are bouncing around with speeds of
More informationDescribe the forces and torques exerted on an electric dipole in a field.
Learning Outcomes - PHYS 2015 Electric charges and forces: Describe the electrical nature of matter; Explain how an object can be charged; Distinguish between electrical conductors and insulators and the
More informationConductors in Electrostatic Equilibrium
Lecture 6 Chapter 24 Conductors in Electrostatic Equilibrium 95.144 Conductors full of electrons? Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Today we are going to discuss:
More informationConsider a point P on the line joining the two charges, as shown in the given figure.
Question 2.1: Two charges 5 10 8 C and 3 10 8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
More informationPhysics (2) Dr. Yazid Delenda
PHYS 104 Physics (2) Dr. Yazid Delenda Department of Physics, Faculty of Sciences and Arts at Yanbu, Taibah University - Yanbu Branch, KSA. yazid.delenda@yahoo.com Lecture notes available at http://delenda.wordpress.com/teaching/phys104/
More informationMaxwell s Equations:
Course Instructor Dr. Raymond C. Rumpf Office: A-337 Phone: (915) 747-6958 E-Mail: rcrumpf@utep.edu Maxwell s Equations: Terms & Definitions EE-3321 Electromagnetic Field Theory Outline Maxwell s Equations
More informationAP PHYSICS 2 Essential Knowledge and Learning Objectives Arranged Topically
with AP PHYSICS 2 Essential Knowledge and Learning Objectives Arranged Topically o Big Ideas o Enduring Understandings o Essential Knowledges o Learning Objectives o Science Practices o Correlation to
More informationCBSE_2014_SET_3 Physics
CBSE_2014_SET_3 Physics 1. A conducting loop is held below a current carrying wire PQ as shown. Predict the direction of the induced current in the loop when the current in the wire is constantly increasing.
More informationfiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES
Content-ELECTRICITY AND MAGNETISM 1. Electrostatics (1-58) 1.1 Coulomb s Law and Superposition Principle 1.1.1 Electric field 1.2 Gauss s law 1.2.1 Field lines and Electric flux 1.2.2 Applications 1.3
More informationChapter 16 Electric Charge and Electric Field
Chapter 16 Electric Charge and Electric Field Units of Chapter 16 Static Electricity; Electric Charge and Its Conservation Electric Charge in the Atom Insulators and Conductors Induced Charge; the Electroscope
More informationElectric Force and Charges. Conceptual Physics 11 th Edition. Electric Force and Charges
Conceptual Physics 11 th Edition Central rule of electricity Opposite charges attract one another; like charges repel. Chapter 22: ELECTROSTATICS This lecture will help you understand: Electrical Forces
More informationUNIT I ELECTROSTATIC FIELDS
UNIT I ELECTROSTATIC FIELDS 1) Define electric potential and potential difference. 2) Name few applications of gauss law in electrostatics. 3) State point form of Ohm s Law. 4) State Divergence Theorem.
More informationEECS 117. Lecture 17: Magnetic Forces/Torque, Faraday s Law. Prof. Niknejad. University of California, Berkeley
University of California, Berkeley EECS 117 Lecture 17 p. 1/? EECS 117 Lecture 17: Magnetic Forces/Torque, Faraday s Law Prof. Niknejad University of California, Berkeley University of California, Berkeley
More informationCapacitance. A different kind of capacitor: Work must be done to charge a capacitor. Capacitors in circuits. Capacitor connected to a battery
Capacitance The ratio C = Q/V is a conductor s self capacitance Units of capacitance: Coulomb/Volt = Farad A capacitor is made of two conductors with equal but opposite charge Capacitance depends on shape
More informationChapters 21 and 22: Giancoli, 4 th Edition Electrostatics
Chapters 21 and 22: Giancoli, 4 th Edition Electrostatics Electric Charges Coulomb s Law and Electric force The Electric Field Electric Field Lines Electric flux Gauss Law and applications of Gauss Law
More informationConductors in Electrostatic Equilibrium
Lecture 6 Chapter 24 Conductors in Electrostatic Equilibrium 95.144 Conductors full of electrons? Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Today we are going to discuss:
More informationr r 1 r r 1 2 = q 1 p = qd and it points from the negative charge to the positive charge.
MP204, Important Equations page 1 Below is a list of important equations that we meet in our study of Electromagnetism in the MP204 module. For your exam, you are expected to understand all of these, and
More informationOctober 23. Physics 272. Fall Prof. Philip von Doetinchem
Physics 272 October 23 Fall 2014 http://www.phys.hawaii.edu/~philipvd/pvd_14_fall_272_uhm.html Prof. Philip von Doetinchem philipvd@hawaii.edu Phys272 - Fall 14 - von Doetinchem - 170 Motional electromotive
More informationELECTRIC CURRENT INTRODUCTION. Introduction. Electric current
Chapter 7 ELECTRIC CURRENT Introduction Electric current Charge conservation Electric conductivity Microscopic picture Electric power Electromotive force Kirchhoff s rules Summary INTRODUCTION The first
More informationINDIAN SCHOOL MUSCAT FIRST TERM EXAMINATION PHYSICS
Roll Number SET NO. General Instructions: INDIAN SCHOOL MUSCAT FIRST TERM EXAMINATION PHYSICS CLASS: XII Sub. Code: 04 Time Allotted: Hrs 0.04.08 Max. Marks: 70. All questions are compulsory. There are
More informationAP PHYSICS 2 FRAMEWORKS
1 AP PHYSICS 2 FRAMEWORKS Big Ideas Essential Knowledge Science Practices Enduring Knowledge Learning Objectives ELECTRIC FORCE, FIELD AND POTENTIAL Static Electricity; Electric Charge and its Conservation
More informationPhysics 1214 Chapter 17: Electric Charge and Electric Field
Physics 1214 Chapter 17: Electric Charge and Electric Field Introduction electrostatic interactions interactions between electric charges at rest in our frame of reference modeled by Coulomb s equation
More informationChapter 2 Basics of Electricity and Magnetism
Chapter 2 Basics of Electricity and Magnetism My direct path to the special theory of relativity was mainly determined by the conviction that the electromotive force induced in a conductor moving in a
More informationPHY102 Electricity Course Summary
TOPIC 1 ELECTOSTTICS PHY1 Electricity Course Summary Coulomb s Law The magnitude of the force between two point charges is directly proportional to the product of the charges and inversely proportional
More informationTECHNO INDIA BATANAGAR
TECHNO INDIA BATANAGAR ( DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGINEERING) QUESTION BANK- 2018 1.Vector Calculus Assistant Professor 9432183958.mukherjee@tib.edu.in 1. When the operator operates on
More information3/22/2016. Chapter 27 Gauss s Law. Chapter 27 Preview. Chapter 27 Preview. Chapter Goal: To understand and apply Gauss s law. Slide 27-2.
Chapter 27 Gauss s Law Chapter Goal: To understand and apply Gauss s law. Slide 27-2 Chapter 27 Preview Slide 27-3 Chapter 27 Preview Slide 27-4 1 Chapter 27 Preview Slide 27-5 Chapter 27 Preview Slide
More informationAP Physics C. Electricity - Term 3
AP Physics C Electricity - Term 3 Interest Packet Term Introduction: AP Physics has been specifically designed to build on physics knowledge previously acquired for a more in depth understanding of the
More informationDC circuits, Kirchhoff s Laws
DC circuits, Kirchhoff s Laws Alternating Current (AC), Direct Current (DC) DC Circuits Resistors Kirchhoff s Laws CHM6158C - Lecture 2 1 Electric current Movement of electrons in a conductor Examples
More informationLecture ( 9 ) Chapter Three : Electric Field in Material Space
Lecture ( 9 ) Chapter Three : Electric Field in Material Space Properties of Materials, Convection and Conduction Currents, and Conductors 3.1 Properties of Materials Just as electric fields can exist
More information- Memorize the terms voltage, current, resistance, and power. - Know the equations Ohm s Law and the Electric Power formula
E: Know Circuit Vocabulary (Short Answer) Level 2 Prerequisites: Know Circuit Vocabulary (Short Answer); Recognize Insulators and Conductors Objectives: - Memorize the terms voltage, current, resistance,
More informationElectrical polarization. Figure 19-5 [1]
Electrical polarization Figure 19-5 [1] Properties of Charge Two types: positive and negative Like charges repel, opposite charges attract Charge is conserved Fundamental particles with charge: electron
More informationElectrostatics and Charge. Creating Electric Fields
Electrostatics and Charge Creating Electric Fields Electric Charges Recall that all matter is made of atoms. Neutral atoms can acquire a charge in several different ways, all of which require movement
More informationChapter (2) Gauss s Law
Chapter (2) Gauss s Law How you can determine the amount of charge within a closed surface by examining the electric field on the surface! What is meant by electric flux and how you can calculate it. How
More informationSome differences: Some basic similarities: Charges. Electrons vs. Protons 4/3/15. Chapters 22-25: Electromagnetism!
Chapters 22-25: Electromagnetism! Electric Force vs. Gravitational Force What properties does the gravitational force depend on? What properties does the electric force depend on? F grav = Gm 1 m 2 /d
More information3.3 Capacitance, relative permittivity & dielectrics 4
3.3 Capacitance, relative permittivity & dielectrics 4 +Q d E Gaussian surface Voltage, V Q Fig. 3.2. Parallel plate capacitor with the plates separated by a distance d which have been charged by a power
More informationDielectrics - III. Lecture 22: Electromagnetic Theory. Professor D. K. Ghosh, Physics Department, I.I.T., Bombay
Dielectrics - III Lecture 22: Electromagnetic Theory Professor D. K. Ghosh, Physics Department, I.I.T., Bombay We continue with our discussion of dielectric medium. Example : Dielectric Sphere in a uniform
More informationElectrostatics. Apparatus:
Electrostatics Object: This experiment allows you to investigate the production of static charge, conservation of charge and the behavior of charges on conductors, which are interacting via Coulomb forces.
More informationLAST NAME FIRST NAME DATE
LAST NAME FIRST NAME DATE CJ - Assignment 1 18.1 The Origin of Electricity 18.2 Charged Objects & the Electric Force 18.3 Conductors & Insulators 18.4 Charging by Contact & by Induction Conceptual Question
More informationAP Physics C. Magnetism - Term 4
AP Physics C Magnetism - Term 4 Interest Packet Term Introduction: AP Physics has been specifically designed to build on physics knowledge previously acquired for a more in depth understanding of the world
More informationfehmibardak.cbu.tr Temporary Office 348, Mühendislik Fakültesi B Blok
fehmibardak.cbu.tr Temporary Office 348, Mühendislik Fakültesi B Blok 1 Course Progress Introductory level Electrostatic, Coulomb s Law Electric Field, Gauss Law Magnetic field, Maxwell s Equations Current,
More informationPHYS102 - Gauss s Law.
PHYS102 - Gauss s Law. Dr. Suess February 2, 2007 PRS Questions 2 Question #1.............................................................................. 2 Answer to Question #1......................................................................
More informationElectricity & Magnetism Study Questions for the Spring 2018 Department Exam December 4, 2017
Electricity & Magnetism Study Questions for the Spring 2018 Department Exam December 4, 2017 1. a. Find the capacitance of a spherical capacitor with inner radius l i and outer radius l 0 filled with dielectric
More informationReading: Electrostatics 3. Key concepts: Capacitance, energy storage, dielectrics, energy in the E-field.
Reading: Electrostatics 3. Key concepts: Capacitance, energy storage, dielectrics, energy in the E-field. 1.! Questions about charging and discharging capacitors. When an uncharged capacitor is connected
More information7. A capacitor has been charged by a D C source. What are the magnitude of conduction and displacement current, when it is fully charged?
1. In which Orientation, a dipole placed in uniform electric field is in (a) stable (b) unstable equilibrium. 2. Two point charges having equal charges separated by 1 m in distance experience a force of
More informationConceptual Physical Science 6 th Edition
Conceptual Physical Science 6 th Edition Chapter 8: STATIC AND CURRENT ELECTRICITY 1 Chapter 8: STATIC AND CURRENT ELECTRICITY Chapter 8: Read: All Homework: Four problems from the following set: 4, 6,
More informationPhysics II (PH2223) Physics for Scientists and Engineers, with Modern Physics, 4th edition, Giancoli
Physics II (PH2223) Physics for Scientists and Engineers, with Modern Physics, 4th edition, Giancoli Topics Covered Electric Charge & Electric Field Electric Potential Capacitance, Dielectric, Electric
More informationFlux. Flux = = va. This is the same as asking What is the flux of water through the rectangle? The answer depends on:
Ch. 22: Gauss s Law Gauss s law is an alternative description of Coulomb s law that allows for an easier method of determining the electric field for situations where the charge distribution contains symmetry.
More informationUnit-1 Electrostatics-1
1. Describe about Co-ordinate Systems. Co-ordinate Systems Unit-1 Electrostatics-1 In order to describe the spatial variations of the quantities, we require using appropriate coordinate system. A point
More informationElectricity & Magnetism Qualifier
Electricity & Magnetism Qualifier For each problem state what system of units you are using. 1. Imagine that a spherical balloon is being filled with a charged gas in such a way that the rate of charge
More information2: What is the magnitude of the electric charge of an electron? 3: What is the law of conservation of electric charge?
Chapter 18 Discussion January-03-15 8:58 PM Electric Forces and Electric Fields Reading Review 1: What is the SI unit of electric charge? 2: What is the magnitude of the electric charge of an electron?
More informationWeek 5 - Dielectrica, Resistance and Resistivity
Week 5 - Dielectrica, Resistance and Resistivity Further, the dignity of the science itself seems to require that every possible means be explored for the solution of a problem so elegant and so celebrated.
More informationCHAPTER 29: ELECTROMAGNETIC INDUCTION
CHAPTER 29: ELECTROMAGNETIC INDUCTION So far we have seen that electric charges are the source for both electric and magnetic fields. We have also seen that these fields can exert forces on other electric
More information3 Constitutive Relations: Macroscopic Properties of Matter
EECS 53 Lecture 3 c Kamal Sarabandi Fall 21 All rights reserved 3 Constitutive Relations: Macroscopic Properties of Matter As shown previously, out of the four Maxwell s equations only the Faraday s and
More information